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3 years ago

Does the point (–7, –7) satisfy the equation y = x?

Mathematics

2 answers:

Nataly_w [17]3 years ago

8 0

duh yes obiouslyyyyyyy

Marta_Voda [28]3 years ago

3 0

Yes it does satisfy

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Find the diameter of a circle with a circumference of 443 feet. Use 3.14 for pi.

marishachu [46]

Answer:

$\huge\boxed{\sf d = 141\ feet}$

Step-by-step explanation:

<u>Given Data:</u>

Circumference = C = 443 ft

<u>Required:</u>

Diameter = d = ?

<u>Formula:</u>

d = C / π

<u>Solution:</u>

d = 443 / 3.14

d = 141.0 feet

d = 141 feet

$\rule[225]{225}{2}$

Hope this helped!

3 0

2 years ago

Read 2 more answers

Giá trị x thoả mãn x(x − 3) + x − 3 =0 là

svet-max [94.6K]

Here we will use the trial and error method.

We will try putting different values of x.

$\begin{gathered}\\ \sf\longmapsto 1(1-3)+1-3=0\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto (-2)+1-3=0\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto -2+1-3=0\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto -2-2=0\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto -4≠0\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto 2(2-3)+2-3=0\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto 2(-1)+2-3=0\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto -2+2-3=0\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto -3≠0\end{gathered}$

<h2>Again,</h2><h3>x=3</h3>

$\begin{gathered}\\ \sf\longmapsto 3(3-3)+3-3=0\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto 3(3-3)=0\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto 3×0=0\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto 0=0\end{gathered}$

<h3>☣Hence, The value of X as 3 satisfies the equation!</h3>

5 0

3 years ago

The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours:

lisabon 2012 [21]

Answer: The speed of the motorboat is 70 miles per hour

Step-by-step explanation: Subtract the initial distance, 35, from the distance at any given time, then divide the remainder by the hours.

For example, at 2 hours, the distance shown on the graph is 175 miles

Subtract: 175 -35 = 140. Then divide 140/2 = 70

At 4 hours, the distance shown is 315 miles.

Subtract: 315 - 35 = 280. Then divide 280/4 = 70

70 mph is the speed.

7 0

3 years ago

Quadrilateral ABCD has coordinates A (3,5), B (5,2), C (8,4), D (6, 7).

siniylev [52]

Answer:

B. Square, because all four sides are congruent and adjacent sides are perpendicular

Step-by-step explanation:

A graph of your figure is below.

The figure is a square because

All four sides are congruent
Adjacent sides are perpendicular.

4 0

3 years ago

Read 2 more answers

Find the equation of locus of a point which moves such that its distance from (0,2) is one third distance from (-2,3). ( I WILL

scoray [572]

Answer:

$8(x^2+y^2)-4x-30y+23=0$

Step-by-step explanation:

<u />

<u>Distance formula</u>

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Let P(x, y) = any point on the locus

Let A = (0, 2)

Let B = (-2, 3)

If a point moves such that its distance from (0, 2) is one third distance from (-2, 3):

$PA=\dfrac{1}{3}PB$

Therefore, using the distance formula:

$\implies \sqrt{(x-0)^2+(y-2)^2}=\dfrac{1}{3}\sqrt{(x-(-2))^2+(y-3)^2}$

Square both sides:

$\implies x^2+(y-2)^2=\dfrac{1}{9}[(x+2)^2+(y-3)^2]$

$\implies x^2+y^2-4y+4=\dfrac{1}{9}(x^2+4x+4+y^2-6y+9)$

Multiply both sides by 9:

$\implies 9x^2+9y^2-36y+36=x^2+4x+4+y^2-6y+9$

$\implies 8x^2+8y^2-4x-30y+23=0$

$\implies 8(x^2+y^2)-4x-30y+23=0$

3 0

2 years ago